2⁴ × 3 × 13 × 47

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 83,328

Proper Divisor Sum 54,000

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #29327 ← → #29333

Radix Representation

Decimal	29328
Binary	111001010010000 (15 bits)
Octal	0o71220
Hexadecimal	0x7290

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1,128 1,222 1,833 2,256 2,444 3,666 4,888 7,332 9,776 14,664 29,328

Collatz Trajectory (46 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

29,328 14,664 7,332 3,666 1,833 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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